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GUJCET · Maths · Differential Equations
The integrating factor of the differential equation \(\frac{d y}{d x}(1+x)-x y=1-x\) is ____________ .
- A \((1+x) e^x\)
- B \((x-1) e^{-x}\)
- C \((1+x) e^{-x}\)
- D \((1-x) e^{-x}\)
Answer & Solution
Correct Answer
(C) \((1+x) e^{-x}\)
Step-by-step Solution
Detailed explanation
\(\frac{d y}{d x} - \frac{x}{1+x} y = \frac{1-x}{1+x}\) \(P(x) = -\frac{x}{1+x}\)
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